Suppose a company makes surgical screws. To pass inspection, the screws must be 62 millimeters long and can vary by no more than 0.02 millimeter. (a) Write the possible screw lengths (in mm) using plus/minus notation. mm + mm (b) Write the possible screw lengths (in mm) using interval notation. (Simplify your answer completely.) mm (c) All screw lengths must be between which two values (in mm)? All screw lengths must be between a lower value of mm and an upper value of mm.

Q: Given the function R(x)=x+3 over x-5, find the values of x that make the function greater than or…

A: Given R(x) = (x+3)/(x-5).

Q: Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 16 ft/s…

A:

Q: The volume, in cubic centimeters, of a rectangular box is given by Vx=x3-6x2-13x+42  . If the length…

A: Answer is mentioned below

Q: How to write a algebraic rule?

A:

Q: 3. Express using absolute value notation. a) x 3 b) -8 < xs8 c) xs-1or x21 d) x + ±5

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Which interval notation represents -3 ≤x≤3? 1) [-3,3] 2) (-3,3] 3) [-3,3) 4) (-3,3)

A: Here given  -3≤x≤3

Q: For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h…

A: Given, distance d required to stop the vehicle= 40 ft Speed= v mph d = v + v2/20 Substituting known…

Q: The variable x is any real number (xcept 0 in a denominator

A:

Q: An air tramc controller is tracking two planes. To start, Plane A was at an altitude of 800 meters,…

A:

Q: A company estimates that it will sell N(x) units of a product after spending x thousand dollars on…

A: Plot the graph for N(x). The function N (x) tends to inf for x = - inf and tends to – inf for x…

Q: (b) 5x 16- 3x| if x > 2

A: Given:-              5x - |6 - 3x|  if x &gt; 2

Q: A piece of land is to be fenced and subdivided as shown so that each -?. 3x+3 ? The total amount of…

A: There are total of 3 rectangular . According to question : a piece of land is to be fenced and…

Q: State the property of equality or the property of real numbers that justifies the statements. c(x) =…

A: We have to state the property pf equality or the property of real number that justify the given…

Q: An accountant has a schedule of depreciation for some business equipment. The schedule shows that…

A: Given that, an accountant has a schedule of depreciation for some business equipment. The schedule…

Q: Write x ≤ -2 in interval notation. Do not use spaces and type the word infinity if needed

A: →Small brackets · is used  for open interval.→Square brackets · is used for closed interval.

Q: On a journey, a cyclist travelled 1 kilometer in x minutes. On a second journey, the cyclist…

A:

Q: The point on the number line represents the value a. -2 -1 0 1 2 3 4 5 -5 -4 -3 What is the value of…

A: point on number line which is red dotted is 4 So value of a is = 4 And ,Value of -a is = -4

Q: Solve for x. (Enter your answers as a comma-separated list.) (x + 1)4/3 = 81

A: To solve the given equation for x.

Q: Solve the following for x, use interval notation for the answer -2x-4≤8-4x

A: Solve the inequality for x

Q: Two pools are being drained. To start, the first pool had 3650 liters of water and the second pool…

A: Given initial amount of water in first pool=3650 litersrate of water drained from the first pool=27…

Q: The formula for converting Celsius temperature, C, to Fahrenheit temperature, F, isIf Fahrenheit…

A: Given,  F=95C+32FahrenheitF range 41°F to 50°F.The formula can be rewrite as 95C=F−32C=59F−32

Q: Identify the point (xo, yo) on the line 7x – 12y = 10 that is closest to the origin. (Give your…

A: Identify the point (x0,y0) on the line 7x-12y=10 that is closet to the origin.

Q: Suppose that the weekly sales volume (in thousands of units) for a product is given by y =…

A: Given weekly sale volume expression for a product is

Q: An airplane is flying at 35,000 feet above sea level. The airplane starts to descend at a rate of…

A: It is given that the airplane starts to descend at a rate of 2500 feet per minute. The height after…

Q: Give an example of a sentence that is not a mathematical statement. Explain why

A: claim- give an example of a statement that is not a mathematical statement. explain why as we know…

Q: JA company estimates that it will sell N(x) units of a product after spending x thousand dollars on…

A: Given that

Q: Enter the interval equivalent to 27

A:

Q: Express the distance between the given numbers on the real line using an absolute value. Then…

A: Since, we know that if a and b are real numbers, then the distancebetween the points a and b on the…

Q: In a science experiment, the temperature of a substance is changed from 42 °F to -54 °F at an…

A:

Q: What is the interval notation for × >-6 and × > -3

A: Given x &gt; -6,   x &gt; -3

Q: Which property of real numbers is illustrated by the equationi shown below? Commutatnapraparty…

A:

Q: For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h…

A:

Q: 2(x+1) +4|< 8. Please express your answer both on number line and also using interval notation. 69 F

A:

Q: Which interval notation represents -3 ≤x≤3? 1) [-3,3] 2) (-3,3] 3) [-3,3) (-3,3) 4) 1 O O O O a b n…

A: From the convention of interval notation, We can write: a≤x≤b  as x∈[a,b] which represents x which…

Q: A construction company uses two different-sized trucks to deliver sand. The first truck can…

A: topic - equations

Q: annual profit of a small company was $27,000 in its 2nd year of operation and $63,000in its 5th…

A: Given, t is the time in years For t=2 years Annual profit= $ 27000 For t=5 years Annual profit=…

Q: What is an expression?

A: Here we have to define expression in mathematics as shown below

Q: No need for explanation

A: It was stated that Barzman Inc., which produces water, wants to analyze the mineral contents (gm) in…

Q: How could the absolute value of -2 make it a twin of 6 when |-2| = 2? Show work

A: Given that absolute value of -2 is 2 . And we want to prove that the absolute value of -2 make it a…

Q: The domain of the expression √36−4x^2 is the interval

A: Given, 36-4x2     We have to find the domain of expression.

Q: If x is the first or smallest of three consecutive even integers, express the sum of the first even…

A: Given:

Q: Use the table of values to calculate F'(2), where F(x) = x2f(x) f'(2) f(2) 2 -9 (Give an exact…

A: Computing the derivative of F(x) by using product rule, we get

Q: In interval notation, what does a parenthesis signify? What does a bracket signify?

A: Brackets and parentheses are symbols used for enclosing words or numbers. Brackets generally refer…

Q: -4 -3 2. 13

A:

Q: Simplify the following expression. Use absolute-value notation when necessary. 18(-4)"

A: Given expression is  (-4)1818

Q: A company estimates that it will sell N(x) units of a product after spending x thousand dollars on…

A:

Q: A construction company uses two different-sized trucks to deliver sand. The first truck can…

A:

Q: tempers 15. For what values of x is the expression V6x – x? defined as a real number?

A:

Q: Express the quantity without using absolute value.

A: Modulus operator signifies that the quantity is always positive.

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.